198403684038000 has 960 divisors, whose sum is σ = 823297278935040. Its totient is φ = 45238217472000.

The previous prime is 198403684037941. The next prime is 198403684038017. The reversal of 198403684038000 is 830486304891.

198403684038000 is a `hidden beast` number, since 1 + 98 + 40 + 36 + 8 + 403 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1391346705 + ... + 1391489295.

It is an arithmetic number, because the mean of its divisors is an integer number (857601332224).

Almost surely, 2^{198403684038000} is an apocalyptic number.

198403684038000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198403684038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411648639467520).

198403684038000 is an abundant number, since it is smaller than the sum of its proper divisors (624893594897040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198403684038000 is a wasteful number, since it uses less digits than its factorization.

198403684038000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143045 (or 143017 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 198403684038000 in words is "one hundred ninety-eight trillion, four hundred three billion, six hundred eighty-four million, thirty-eight thousand".